Surface area of revolution Quiz
10 questions · easy to harder · Calculus 2 · score and step-by-step answers
How it works
- 10 questions, about 30 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 5 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise the lesson with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
1 Question 1
Find the surface area of y = 34x turned around the x-axis from x = 0 to x = 4.- A) S ≈ 4.712
- B) S ≈ 47.12
- C) S ≈ −47.12
- D) S ≈ 471.2
2 Question 2
Find the surface area of y = 43x turned around the x-axis from x = 0 to x = 3.Type the answer.
3 Question 3
Find the surface area of y = √(9 − x2) turned around the x-axis from x = −3 to x = 3.- A) S ≈ 113.10
- B) S ≈ −113.1
- C) S ≈ 11.31
- D) S ≈ 1131
4 Question 4
Find the surface area of y = √x turned around the x-axis from x = 0 to x = 6.Type the answer.
5 Question 5
Find the surface area of y = √x turned around the x-axis from x = 2 to x = 6.- A) S ≈ 513.1
- B) S ≈ 51310
- C) S ≈ −51.31
- D) S ≈ 51.31
6 Question 6
Find the surface area of y = √(16 − x2) turned around the x-axis from x = 0 to x = 2.Type the answer.
7 Question 7
Find the surface area of y = 2x turned around the x-axis from x = 1 to x = 3.- A) S ≈ 112400
- B) S ≈ 112.40
- C) S ≈ 5
- D) S ≈ 2
8 Question 8
Find the surface area of y = x3 turned around the x-axis from x = 0 to x = 1.Type the answer.
9 Question 9
Find the surface area of y = x33 turned around the x-axis from x = 0 to x = 1.- A) S ≈ −0.64
- B) S ≈ 640
- C) S ≈ 0.64
- D) S ≈ 6.4
10 Question 10
Find the surface area of y = x33 turned around the x-axis from x = 0 to x = 2.Type the answer.